3416

3416 is a positive integer that follows 3415 and precedes 3417. It is an even, composite number with several notable mathematical properties.

Its prime factorization is 2^3 × 7 × 61. From this factorization, the number of positive divisors is (3+1) × (1+1) × (1+1) = 16. The sum of all positive divisors is (2^4−1)/(2−1) × (7^2−1)/(7−1) × (61^2−1)/(61−1) = 15 × 8 × 62 = 7440, so the sum of proper divisors is 7440 − 3416 = 4024. Since the sum of proper divisors (4024) exceeds the number itself, 3416 is classified as an abundant number, with an abundance of 608.

In different representations, 3416 equals 110101011000 in binary, and 0xD58 in hexadecimal. In Roman numerals, it is written MMMCDXVI.

As a four-digit natural number, 3416 can appear in various contexts such as catalog numbers, identifiers, or designations in educational examples. It does not correspond to a widely recognized constant or singular named object in standard mathematical references, but its factorization and divisor properties illustrate common arithmetic concepts such as parity, prime factorization, divisor counting, and abundance.